MATH-AII Algebra II - Unit 4 Test Exam not valid for Paper Pencil Test Sessions

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1 MATH-AII Algebra II - Unit 4 Test Exam not valid for Paper Pencil Test Sessions [Exam ID:1087YR 1 Which of the following functions does NOT have a range of only the real numbers greater than or equal to zero? A f (x ) = 4 - x B f (x ) = x - 4 C f (x ) = x 4 D f (x ) = log.x 2 The graph of g (x ) = log (2x ) has A no x -intercept or y -intercept B one x -intercept and no y -intercept C two x -intercepts and no y -intercept D one x -intercept and one y -intercept 3 Throughout which of the following intervals is f (x ) = (x - 1)(x - 4) 2 only decreasing? A - < x < 0 B - < x < 1 C 1 < x < 4 D 2 < x < 4 4 What is the domain of g (x ) = log(x - 1)? A {x x > 10} B {x x > 9} C {x x > 1} D {x x > 0}

5 A B C D 6 Which is a zero of 7x 2 +16x-48? A 12 B 4 C 12 7 D 4 7 7 Jessica paid $23,000 for her car and kept a record of its value.

2 5 A B C D 6 Which is a zero of 7x 2 +16x-48? A 12 B 4 C 12 7 D Jessica paid $23,000 for her car and kept a record of its value. Assuming the relationship is exponential, which equation best models the curve of best fit for the data? A y = 21,000(1.20) x B y = 22,300(2.60) x C y = 23,100(0.85) x D y = 23,500(0.70) x

3 8 The graph of a parent function is shown. What function belongs to this same family? A B C D 9 The table shows the number of students enrolled in the advanced algebra program at Fair Oaks High School during its first 6 years. Assuming the trend continues, which is the best prediction for the number of students that will be enrolled during the 12th year of the program? A 126 B 142 C 157 D Directions: Type your answer in the box. Identify one zero for the given polynomial function. h (x ) = 2x (x + 2)(x - 3) 2

4 11 Which number is a zero of f (x ) = log (4x - 1)? A 7 2 B 11 4 C 1 2 D Holly conducted a science project. She put 10 flies in an appropriate container and monitored the population size over the next 5 days. Holly recorded her results in the chart below. Which model best represents the data in the chart? A Polynomial B Exponential C Logarithmic D Linear 13 Which of these situations involves a combination? A Determining how many different groups of 3 employees can be chosen from 10 employees B Determining how many different seating charts can be made placing 7 people around a table Determining how many different ways 8 runners can be assigned lanes on a track for a C preliminary race Determining how many different 6-letter passwords can be made using the letters in the D word "pencil"

5 14 8 What is the sum of the infinite geometric series ? 3 A 29 3 B 25 3 C 27 5 D As x approaches negative infinity, which of the following describes the end behavior of f (x ) = -x 7 + bx 3 + c? A f (x ) approaches c B f (x ) approaches 0 C f (x ) approaches positive infinity D f (x ) approaches negative infinity 16 Fall High School recorded the number of student athletes every ten years since During which interval of time did the number of student athletes increase? A B C D

17 On a statistic test, the class mean was 68 and the standard deviation was 7. For the biology test, the mean was 25 and the standard deviation was 4.2. Determine on which test Katherine had a better score.

6 17 On a statistic test, the class mean was 68 and the standard deviation was 7. For the biology test, the mean was 25 and the standard deviation was 4.2. Determine on which test Katherine had a better score. Katherine gets a 78 on the statistics test and a 29 on the biology test. A Neither B Statistics C Both were the same D Biology 18 The time it takes to do a job is inversely proportional to the number of workers. If 8 workers can do a job in 6 days, then 16 workers can do the same job in A 12 days B 6 days C 3 days D 1.5 days 19 What is the domain of the function graphed? A All real numbers except 0 B All real numbers C y > 0 D x > 0

7 20 Which function best represents this graph? A f (x ) = 2 (x + 2) B (x - 2) f (x ) = 2 C f (x ) = 2 x - 3 D f (x ) = 2 x The graph of a function is shown on the grid. What appears to be the range of this function? A {y y = 1, 2, 3, 4} B {y y = 0, 2, 4, 6, 8} C {y 1 < y < 4} D {y 0 < y < 8}

8 22 The volume of a cone (V ) varies jointly with its height (h ) and the square of its radius (r ). If k is the constant of proportionality, which of the following equations represents the correct relationship between volume, radius, and height? A V = k (rh ) 2 B V = kr 2 C V = h k r 2 h D V = kr 2 h 23 The function f (x ) = (1 - x ) 2-4 is decreasing throughout the interval A -4 < x < B - < x < 1 C -1 < x < 3 D - < x < 24 A scientist obtained a sample that contained 80 grams of radioactive Barium-122 that decays exponentially over time. The amount of Barium-122 that remained in the sample at observed times is shown in the table. If the radioactive decay continues at the same rate, which is closest to the amount of the sample of Barium-122 remaining at 5 minutes? A 8.3 grams B 10.0 grams C 11.7 grams D 14.1 grams

9 25 Which statement is true about the end behavior of the function? y = 6x 2-8x + 4 2x A As x approaches negative infinity, y approaches. 2 B As x approaches positive infinity, y approaches positive infinity. 1 C As x approaches positive and negative infinity, y approaches -. 2 D As x approaches positive infinity, y approaches negative infinity. 26 Which of the following describes an end behavior of the function as x approaches positive infinity? A y approaches negative infinity B y approaches positive infinity C y approaches 1 D y approaches 0 27 Directions: Click and drag each answer to the correct box. Place the type of curve of best fit next to the data that it best describes. Exponential Logarithmic

10 28 A normally distributed data set has a mean of 0 and a standard deviation of 0.5. Which is closest to the percent of values between -1 and 1? A 34% B 50% C 68% D 95%

Algebra 2 Math Curriculum Pacing Guide (Revised 2017) Amherst County Public Schools. Suggested Sequence of Instruction and Pacing

Algebra 2 Math Curriculum Pacing Guide (Revised 2017) Amherst County Public Schools Suggested Sequence of Instruction and Pacing 1st 9-weeks Unit 1 - Solving Equations and Inequalities (including absolute